2.1184   ODE No. 1184

  1. Problem in Latex
  2. Mathematica input
  3. Maple input

\[ x^2 y''(x)-x^4+x^2-4 x y'(x)+6 y(x)=0 \] Mathematica : cpu = 0.0070794 (sec), leaf count = 38

\[\left \{\left \{y(x)\to \frac {1}{2} \left (x^4+2 x^2+2 x^2 \log (x)\right )+c_2 x^3+c_1 x^2\right \}\right \}\] Maple : cpu = 0.08 (sec), leaf count = 25

\[ \left \{ y \left ( x \right ) ={\frac {{x}^{2} \left ( 2\,{\it \_C1}\,x+{x}^{2}+2\,\ln \left ( x \right ) +2\,{\it \_C2}+2 \right ) }{2}} \right \} \]